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Simplifying -2x + 2 = -2(2x + 4) Reorder the terms: 2 + -2x = -2(2x + 4) Reorder the terms: 2 + -2x = -2(4 + 2x) 2 + -2x = (4 * -2 + 2x * -2) 2 + -2x = (-8 + -4x) Solving 2 + -2x = -8 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -2x + 4x = -8 + -4x + 4x Combine like terms: -2x + 4x = 2x 2 + 2x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + 2x = -8 + 0 2 + 2x = -8 Add '-2' to each side of the equation. 2 + -2 + 2x = -8 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -8 + -2 2x = -8 + -2 Combine like terms: -8 + -2 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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